GCD of 612, 422, 900, 949 Calculator

Given Input numbers are 612, 422, 900, 949

In the factoring method, we have to find the divisors of all numbers

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (612, 422, 900, 949) = 1.

Given numbers are 612, 422, 900, 949

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 422 are 2 x 211

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 949 are 13 x 73

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 612, 422, 900, 949

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(612, 422) = 129132

GCD(612, 422) = ( 612 x 422 ) / 129132

= 612 / 422

= 612

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

= 2 / 949

= 2

So, Greatest Common Divisor of 612, 422, 900, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 495, 342, 320
• GCD of 686, 186, 250, 294
• GCD of 822, 964, 272, 833
• GCD of 907, 585, 494, 317
• GCD of 261, 185, 264, 299

Given numbers are 612, 422, 900, 949
The greatest common divisor of numbers 612, 422, 900, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 422, 900, 949 is 1.

1. What is the GCD of 612, 422, 900, 949?

GCD of given numbers 612, 422, 900, 949 is 1

2. How to calculate the greatest common divisor of 612, 422, 900, 949?

We can find the highest common divisor of 612, 422, 900, 949 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 612, 422, 900, 949 i.e 1.

3. How can I use the GCD of 612, 422, 900, 949Calculator?

Out the numbers 612, 422, 900, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.